Pith Number

pith:Q7D2RAKI

pith:2017:Q7D2RAKIFTMNLTMEGC7ZYJLEHX

not attested not anchored not stored refs pending

The free energy in the Derrida--Retaux recursive model

Yueyun Hu (LAGA), Zhan Shi (LPMA)

arxiv:1705.03792 v3 · 2017-05-10 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7D2RAKIFTMNLTMEGC7ZYJLEHX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:11:43.635438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87c7a881482cd8d5cd8430bf9c25643ded4407b21e9bd284af04a9c01589791c

Aliases

arxiv: 1705.03792 · arxiv_version: 1705.03792v3 · doi: 10.48550/arxiv.1705.03792 · pith_short_12: Q7D2RAKIFTMN · pith_short_16: Q7D2RAKIFTMNLTME · pith_short_8: Q7D2RAKI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q7D2RAKIFTMNLTMEGC7ZYJLEHX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 87c7a881482cd8d5cd8430bf9c25643ded4407b21e9bd284af04a9c01589791c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ccedef46174a90c7eda00871873901f5234370983527a66626cbfdb4bd39d3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-10T14:27:40Z",
    "title_canon_sha256": "b1cc049827cd1ff4ab2c46769f7f4200577594eba14af1b09514fe1cf3ff5e73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03792",
    "kind": "arxiv",
    "version": 3
  }
}